A Robust Control Method for Q - S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems

Abstract EN

A robust control approach is presented to study the problem of Q-S synchronization between Integer-order and fractional-order chaotic systems with different dimensions.

Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee the Q-S synchronization between n -dimensional integer-order master system and m -dimensional fractional-order slave system.

This paper provides further contribution to the topic of Q-S chaos synchronization between integer-order and fractional-order systems and introduces a general control scheme that can be applied to wide classes of chaotic and hyperchaotic systems.

Illustrative example and numerical simulations are used to show the effectiveness of the proposed method.